Calculus Revisited Part 3 - Conformal Mapping
Herb Gross defines and explains what is meant by a conformal mapping. Prof. Gross shows that analytic functions w = f(z) for which f'(z) â 0 are invertible. He then talks about the fact that if f(x,y) = u + iv is analytic, and f'(z) â 0, then the mapping from the x-y plane into the u-v plane preserves solutions to Laplace's Equation. Further, since f is invertible, solutions in the u-v plane can be mapped back to the original x-y space.